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if `f(x)=(x^2-4)|(x^3-6x^2+11x-6)|+x/(1+|x|)`then set of points at which the function if non differentiable isA. `{-2 , 2 , 1 , 3}`B. `{-2 , 0 , 3}`C. `{-2 , 2 , 0}`D. {1 , 3} |
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Answer» Correct Answer - D f(x) = `(x + 2) (x-2) |(x-1) (x-2) (x-3)| + (x)/(1 + |x|)` `(x-1) (x-2) (x-3)` is not differentiable at x = 1, 3 only. `(x)/(1 + |x|)` is always differentiable . |
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